{"id":232661,"date":"2025-06-12T05:08:48","date_gmt":"2025-06-12T05:08:48","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=232661"},"modified":"2025-06-12T05:08:51","modified_gmt":"2025-06-12T05:08:51","slug":"what-is-the-gcf-of-3-and-18","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/12\/what-is-the-gcf-of-3-and-18\/","title":{"rendered":"What is the GCF of 3 and 18"},"content":{"rendered":"\n<p>what is the GCF of 3 and 18<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The <strong>Greatest Common Factor (GCF)<\/strong> of <strong>3 and 18<\/strong> is <strong>3<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To find the <strong>GCF<\/strong> of two numbers means to determine the <strong>largest number<\/strong> that divides <strong>both<\/strong> numbers <strong>exactly<\/strong>, with <strong>no remainder<\/strong>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 1: Understand the definition of GCF<\/h4>\n\n\n\n<p>The <strong>GCF (Greatest Common Factor)<\/strong> is the greatest number that <strong>evenly divides<\/strong> two or more numbers. This number must be a <strong>factor<\/strong> of both original numbers.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 2: List the factors of each number<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Factors of 3<\/strong>:<br>A factor is a number that divides evenly into another number.<br>The factors of 3 are: <strong>1, 3<\/strong><\/li>\n\n\n\n<li><strong>Factors of 18<\/strong>:<br>The numbers that divide 18 without a remainder are:<br><strong>1, 2, 3, 6, 9, 18<\/strong><\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">Step 3: Identify common factors<\/h4>\n\n\n\n<p>Now, compare the factors of 3 and 18:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Common factors of 3 and 18: <strong>1, 3<\/strong><\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">Step 4: Choose the greatest common factor<\/h4>\n\n\n\n<p>From the list above, the <strong>largest<\/strong> factor that both numbers share is <strong>3<\/strong>.<br>So, the <strong>GCF of 3 and 18 is 3<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Why is the GCF important?<\/h3>\n\n\n\n<p>The GCF is used in many areas of mathematics, such as:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Reducing fractions<\/strong>: To simplify a fraction, divide both the numerator and denominator by their GCF.<\/li>\n\n\n\n<li><strong>Factoring expressions<\/strong>: In algebra, factoring out the GCF makes expressions easier to work with.<\/li>\n\n\n\n<li><strong>Problem-solving<\/strong>: The GCF helps solve problems involving ratios, division of items into equal groups, and more.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Shortcut Method: Prime Factorization<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Prime factorization of 3: <strong>3<\/strong><\/li>\n\n\n\n<li>Prime factorization of 18: <strong>2 \u00d7 3 \u00d7 3<\/strong><\/li>\n<\/ol>\n\n\n\n<p>The only prime factor they both share is <strong>3<\/strong>. So, the GCF is <strong>3<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p><strong>The GCF of 3 and 18 is 3.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-328.jpeg\" alt=\"\" class=\"wp-image-232662\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>what is the GCF of 3 and 18 The Correct Answer and Explanation is: The Greatest Common Factor (GCF) of 3 and 18 is 3. Explanation: To find the GCF of two numbers means to determine the largest number that divides both numbers exactly, with no remainder. Step 1: Understand the definition of GCF The [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-232661","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232661","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=232661"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232661\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=232661"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=232661"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=232661"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}